 If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the...  A Supplement to the Elements of Euclid - Page 366by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...rectilineal figure. 4. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. 5. Given the perimeter... | |
 | Euclides - 1860 - 288 pages
...the whole circumference. If an angle of a triangle be bisected by a straight line, -which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line bisecting the angle. Given a triangle ABC, and the angle BAC bisected by the straight... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | John Playfair - Geometry - 1860 - 334 pages
...the sector PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewse cuts the base; the rectangle contained by the sides of the triangle is equal to th« rectangle contained by the segments of the base, together with the square of the straight line... | |
 | War office - 1861 - 260 pages
...and equiangular pentagon. 4. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...base, together with the square of the straight line which bisects the angle. 5. If a solid angle be contained by three plane angles, any two of them are... | |
 | War office - 1861 - 714 pages
...square that lies without the circle. 2. If from any angle of a triangle a perpendicular be let fall on the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The sides of a right-angled... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...the base, or the base produced, the difference of the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 6. If two parallel planes be cut by another plane their common sections with it are parallels. A pyramid... | |
 | Euclides - 1861 - 464 pages
...PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...in the pentagon FDEGC. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. If ABC be the triangle,... | |
 | Samuel H. Winter - 1864 - 348 pages
...base or the base produced, the difference between the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 12. A pyramid is cut by a plane parallel to the base; show that the section is a figure which is similar... | |
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